Data Analysis Assignment: Cancer Case Analysis and Interpretation

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Homework Assignment
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This assignment presents a data analysis of cancer cases across different ethnic groups, utilizing descriptive statistics to interpret the data. The analysis includes data from the National Cancer Institute, providing a breakdown of cancer rates per 100,000 for various ethnic categories: American Indian/Alaska Native, Asian/Pacific Islander, Black, Hispanic, and White. The assignment calculates and presents key descriptive statistics such as mean, median, mode, standard deviation, variance, and range for each group. The discussion section highlights the differences in cancer incidence among the groups, concluding that the Black (includes Hispanic) population has the highest mean number of cancer cases, while the Hispanic (any race) population has the lowest, based on the data provided. This analysis offers insights into cancer prevalence across different ethnic demographics, using statistical measures to draw comparisons and conclusions.
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Data analysis 1
Data Analysis
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Data analysis 2
Introduction
Data analysis is a critical exercise in breaking the raw data into figures that can really be
turned into information. Data can be analyzed and presented into descriptive statistics. This is the
basic level of describing the data and which is always mostly used and also understood by non-
statisticians. The results from analysis can then be used in informing decision making.
Descriptive statistics include measures of center and variation. Measures of center are mean,
median and mode while measures of variance are variance, standard deviation and range.
The results below belong to the distribution cancer cases by race/ethnicity as obtained from
national cancer institute.
Descriptive statistics
Descriptive statistics for American Indian / Alaska Native (includes Hispanic) - Rate per 100,000
Measure of central tendency
Mean 43.275
Median 43.85
Mode #N/A
Measure of dispersion
Standard deviation 5.264915321
Variance 27.71933333
Range 19.7
Table 1
Descriptive statistics for Asian / Pacific Islander (includes Hispanic) - Rate per 100,000
Measure of central tendency
Mean 38.5125
Median 38.9
Mode 36.6
Measure of dispersion
Standard deviation 2.38324009
Variance 5.67983333
Range 7.8
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Data analysis 3
Table 2
Descriptive statistics for Black (includes Hispanic) Rate per 100,000
Measure of central
tendency
Mean 70.06875
Median 71.4
Mode #N/A
Measure of dispersion
Standard deviation 6.740100766
Variance 45.42895833
Range 21.6
Table 3
Descriptive statistics for Hispanic (any race) Rate per 100,000
Measure of central
tendency
Mean 31.49375
Median 32.1
Mode 34.1
Measure of dispersion
Standard deviation
2.89815314
8
Variance
8.39929166
7
Range 9
Table 4
Descriptive statistics for White (includes Hispanic) Rate per 100,000
Measure of central
tendency
Mean 62.725
Median 64.55
Mode 65.8
Measure of dispersion
Standard deviation 5.11488
Variance 26.162
Range 15.6
Table 5
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Data analysis 4
Discussion
Table 1, 2, 3, 4 and 5 above shows the summary statistics of the number of cancer cases
for different ethnic groups. It can be observed that the mean number of cancer cases among the
Black (includes Hispanic) was the highest compared to the rest with a mean of 70.07 with a
standard deviation of 6.74. The second highest mean of cancer cases was among the White
(includes Hispanic). The mean was 62.73 with a standard deviation of 5.11. Among the
American Indian / Alaska Native (includes Hispanic), the mean number of cancer cases was
43.28 with a standard deviation of 5.26. Asian / Pacific Islander (includes Hispanic) had mean
cancer number of 38.5 with a standard deviation of 2.38. The least affected ethnic group
according to cancer institute was Hispanic (any race). The mean number of Hispanic (any race)
who had cancer was 31.49 with a standard deviation of 2.9. It can therefore be concluded that the
Black (includes Hispanic) are the worst hit by cancer while Hispanic (any race) are the least hit
by cancer according to the data from the cancer institute.
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